If we can create a number system using the square root of -1, why can't
we do the same with division by 0? Could we define a number to be equal
to 1/0? Also, do imaginary numbers have any real-life uses?

If you take the square root of i to the fourth power, does that equal
i to the second power, which is equivalent to -1? Or can you simplify
under the radical first and say i to the fourth power is 1 and the
square root is then 1? Which approach is correct?